Generation of Synthetic Multifractal Realistic Surfaces Based on Natural Model and Lognormal Cascade: Application to MRI Classification

  • Mohamed Khider
  • Abdelmalik Taleb-Ahmed
  • Boualem Haddad
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6419)


This paper presents a method of generating realistic synthetic multi-fractals surfaces, constructed with multiplicative cascades, that follow lognormal probability density function. The conservation of the natural image gradient direction, and the variance of the difference minimization at each scale between natural image multipliers and those of the selected lognormal model, preserves the initial texture structure. Validation of the model is made with wavelet leader based multifractal analysis, we also propose an application to MRI classification of trabecular bone texture, to differentiate between healthy and osteoporotic cases.


lognormal cascade Discrete Wavelet Transform wavelet leader multifractal analysis Monte-Carlo sampling Iterative Conditional Modes (ICM) Markov Random Fields (MRF) probabilistic model and Bayesian classification 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Mohamed Khider
    • 1
  • Abdelmalik Taleb-Ahmed
    • 2
  • Boualem Haddad
    • 1
  1. 1.Université des Sciences et de la Technologie Houari Boumedienne, LTIRAlgeria
  2. 2.Université de Valenciennes et du Hainaut Cambrésis, LAMIHFREFrance

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